Normally ζ-reversible profinite groups
We examine (finitely generated) profinite groups in which two formal Dirichlet series, the normal subgroup zeta function and the normal probabilistic zeta function, coincide; we call these groups normally ζ-reversible. We conjecture that these groups are pronilpotent and we prove this conjecture if...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155198 |
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| Zitieren: | Normally ζ-reversible profinite groups / L. Cimetta, A. Lucchini // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 24-50. — Бібліогр.: 21 назв. — англ. |
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Cimetta, L. Lucchini, A. 2019-06-16T10:48:18Z 2019-06-16T10:48:18Z 2016 Normally ζ-reversible profinite groups / L. Cimetta, A. Lucchini // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 24-50. — Бібліогр.: 21 назв. — англ. 1726-3255 2010 MSC:20E07. https://nasplib.isofts.kiev.ua/handle/123456789/155198 We examine (finitely generated) profinite groups in which two formal Dirichlet series, the normal subgroup zeta function and the normal probabilistic zeta function, coincide; we call these groups normally ζ-reversible. We conjecture that these groups are pronilpotent and we prove this conjecture if G is a normally ζ-reversible satisfying one of the following properties: G is prosoluble, G is perfect, all the nonabelian composition factors of G are alternating groups. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Normally ζ-reversible profinite groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Normally ζ-reversible profinite groups |
| spellingShingle |
Normally ζ-reversible profinite groups Cimetta, L. Lucchini, A. |
| title_short |
Normally ζ-reversible profinite groups |
| title_full |
Normally ζ-reversible profinite groups |
| title_fullStr |
Normally ζ-reversible profinite groups |
| title_full_unstemmed |
Normally ζ-reversible profinite groups |
| title_sort |
normally ζ-reversible profinite groups |
| author |
Cimetta, L. Lucchini, A. |
| author_facet |
Cimetta, L. Lucchini, A. |
| publishDate |
2016 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
We examine (finitely generated) profinite groups in which two formal Dirichlet series, the normal subgroup zeta function and the normal probabilistic zeta function, coincide; we call these groups normally ζ-reversible. We conjecture that these groups are pronilpotent and we prove this conjecture if G is a normally ζ-reversible satisfying one of the following properties: G is prosoluble, G is perfect, all the nonabelian composition factors of G are alternating groups.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/155198 |
| citation_txt |
Normally ζ-reversible profinite groups / L. Cimetta, A. Lucchini // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 24-50. — Бібліогр.: 21 назв. — англ. |
| work_keys_str_mv |
AT cimettal normallyζreversibleprofinitegroups AT lucchinia normallyζreversibleprofinitegroups |
| first_indexed |
2025-11-29T12:10:31Z |
| last_indexed |
2025-11-29T12:10:31Z |
| _version_ |
1850854884898766848 |